On the role of the $\Delta (1232)$ on the transverse nuclear response in the $(e,e^{\prime })$ reaction

Abstract

The transverse nuclear response to an electromagnetic probe which is limited to create (or destroyed) a particle-hole ($ph$) or delta-hole ($\Delta h$) pair is analyzed. Correlations of the random phase approximation (RPA) type and self energy insertions are considered. For RPA correlations we have developed a scheme which includes explicitly the $\Delta$ and the exchange terms. Self energy insertions over $ph$ and $\Delta h$ bubbles are studied. Several residual interactions based on a contact plus a ($\pi +\rho$)-meson exchange potential are used. All calculations are performed in non-relativistic nuclear matter. The main effect of the $\Delta$ is to reduce the intensity over the nuclear quasi-elastic peak. Exchange RPA terms are very important, while the self energy depends strongly on the residual interaction employed. We compare our final result with data for ${}^{40}Ca$ at momentum transfer $q=410$ and $q=550$ MeV/c.

42 pages, 18 Postscript figures

References in corpus (3)

• Inclusive $(e,e^{\prime }N)$, $(e,e^{\prime }NN)$, $(e,e^{\prime }\pi )$ ... reactions in nuclei
• The longitudinal and transverse responses in the inclusive electron scattering: a functional approach
• On the role of the effective interaction in quasi-elastic electron scattering calculations

Cited by in corpus (5)

• Relativistic effects in electromagnetic nuclear responses in the quasi-elastic delta region
• RPA quasi-elastic responses in infinite and finite nuclear systems
• On the effect of the Delta(1232) in hypernuclear non-mesonic weak decay: a microscopic approach
• The role of the $\Delta$(1232) on the longitudinal response in the inclusive electron scattering reaction
• The Longitudinal and Transverse responses in inclusive electron scattering within the RPA framework